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Matrices

Question
CBSEENMA12033026
Wired Faculty App

Evaluate

If A = open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets space and space straight B equals open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets comma space find space 3 straight A squared minus 2 straight B.

Solution
Here space A space equals space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets comma space straight B equals open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets comma space therefore space space space 3 straight A squared minus 2 straight B equals 3 space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets space open square brackets table row 2 cell negative 1 end cell row 3 2 end table close square brackets minus 2 space open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets space space space space space space space space space space space space space space space space space equals space open square brackets table row cell 4 minus 3 space space space space end cell cell negative 2 minus 2 end cell row cell 6 plus 6 space space space space end cell cell negative 3 plus 4 end cell end table close square brackets minus 2 open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets space space space space space space space space space space space space space space space space space equals space 3 space open square brackets table row 1 cell negative 4 end cell row 12 1 end table close square brackets space minus 2 space open square brackets table row 0 4 row cell negative 1 end cell 7 end table close square brackets equals open square brackets table row 3 cell negative 12 end cell row 36 3 end table close square brackets minus open square brackets table row 0 8 row cell negative 2 end cell 14 end table close square brackets space space space space space space space space space space space space space space space space space equals space open square brackets table row cell 3 minus 0 end cell cell negative 12 minus 8 end cell row cell 36 plus 2 end cell cell 3 minus 14 end cell end table close square brackets equals open square brackets table row 3 cell negative 20 end cell row 38 cell negative 11 end cell end table close square brackets

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